Controlling quantum entanglement through photocounts

Oliveira, M. C. de; Silva, Luciano F. da; Mizrahi, S. S.

doi:10.1103/physreva.65.062314

Cited by 14 publications

(19 citation statements)

References 25 publications

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“…These detunings need to be compared with the finite linewidth of the Rydberg state. For the ns 1/2 Rydberg states of 87 Rb one finds Γ n = 2π × 0.699 (n * ) −2.94 GHz where n * = n − δ is the effective principal quantum number of the Rydberg state including the quantum defect δ [21]. For our specific example this yields Γ 70 = 2π × 3.0 kHz.…”

mentioning

confidence: 61%

Rydberg-Rydberg interaction profile from the excitation dynamics of ultracold atoms in lattices

Mayle¹,

Zeller²,

Tezak³

et al. 2011

Phys. Rev. A

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We propose a method for the determination of the interaction potential of Rydberg atoms. Specifically, we consider a laser-driven Rydberg gas confined in a one-dimensional lattice and demonstrate that the Rydberg atom number after a laser excitation cycle as a function of the laser detuning provides a measure for the Rydberg interaction coefficient. With the lattice spacing precisely known, the proposed scheme only relies on the measurement of the number of Rydberg atoms and thus circumvents the necessity to map the interaction potential by varying the interparticle separation.

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mentioning

confidence: 61%

Rydberg-Rydberg interaction profile from the excitation dynamics of ultracold atoms in lattices

Mayle¹,

Zeller²,

Tezak³

et al. 2011

Phys. Rev. A

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“…The proposed dressed states possess a finite effective lifetime which can be estimated by τ = τ n /|c| 2 with |c| 2 = (Ω/2∆ 2 ) 2 being the two-level admixture coefficient of the Rydberg state and τ n its radiative lifetime. With τ 40 ≈ 70 µs [12], the strong gradient configuration yields τ ≈ 87 ms which is more than one order of magnitude longer as the timescale of the envisaged dynamics. Similarly, the van der Waals interaction of two Rydberg atoms is suppressed by |c| 4 .…”

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confidence: 97%

Exploiting the composite character of Rydberg atoms for cold-atom trapping

2009

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By investigating the quantum properties of magnetically trapped nS 1/2 Rydberg atoms, it is demonstrated that the composite nature of Rydberg atoms significantly alters their trapping properties opposed to point-like particles with the same magnetic moment. We show how the specific signatures of the Rydberg trapping potential can be probed by means of ground state atoms that are off-resonantly coupled to the Rydberg state via a two photon laser transition. In addition, it is demonstrated how this approach provides new possibilities for generating traps for ground state atoms. Simulated time-of-flight pictures mirroring the experimental situation are provided.The size of Rydberg atoms can easily exceed that of ground state atoms by several orders of magnitude. Already a state with principal quantum number n ≈ 40 has an electronic orbit that measures ∼ 200 nm in diameter and thus is more than thousand times larger than the ground state [1]. The associated displacement of the atomic charges makes Rydberg atoms highly susceptible to external fields and at the same time is the origin of their strong mutual interaction. The latter has been demonstrated to entail a blockade mechanism [2] thereby effectuating collective Rydberg excitations in ultracold gases [3] and facilitating the observation of conditional dynamics between two single atoms separated by a few µm [4].Owed to their large size, Rydberg atoms do not only interact much stronger than their ground state counterparts but also behave quite differently when placed in electric and/or magnetic field configurations that provide trapping for ground state atoms. Several works have focused on this issue, discussing traps for Rydberg atoms based on electric [5], optical [6], or strong magnetic fields [7]. As opposed to ground state atoms, the electronic dynamics usually does not decouple from the external center of mass (c.m.) motion and trapping becomes a particular delicate task. This becomes evident in tight magnetic traps, where the point particle description of the atoms breaks down [8,9] as the extension of the Rydberg state becomes comparable or even larger than the length scale imposed by the trap, i.e., the extension of the c.m. wave function.In this letter we illuminate the question of how the composite character of Rydberg atoms, i.e., the fact that it consists of an outer electron far away from a compact ionic core, becomes manifest in standard magnetic traps. In particular, we focus on nS 1/2 Rydberg states which are excited from an atomic gas of 87 Rb atoms being in the 5S 1/2 , F = m F = 2 ground state, as done experimentally in Refs. [3]. We demonstrate that, although both states possess the same magnetic moment, the trapping potential of the Rydberg states is substantially altered due the composite nature of the atom. This effect can be directly measured by off-resonantly coupling the ground and the Rydberg state via excitation lasers. The subsequent evolution of the dressed ground state atoms is qualitatively modified by the admixture of the Rydberg ...

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“…The theory has received considerable attention in the following years due to its new microscopic interpretation of the photodetection process [2,3,4,5,6], relation to the quantum trajectories approach [7,8,9,10,11,12] and several proposals for applications. Among them we find studies of photocounts statistics in diverse systems [13,14,15,16,17], quantum non-demolition measurements [18,19,20], implementation of measurement schemes [21,22,23], quantum state preparation [24,25,26,27,28], quantum control via photodetection [29,30], and quantum computation [31].…”

Section: Introductionmentioning

confidence: 99%

“…For instance, the photocounts [1,2,3] and the waiting time [35,36,37,38] statistics are among the most common quantities to be studied both theoretically and experimentally. Moreover, CPM conferred a * Electronic address: adodonov@df.ufscar.br † Electronic address: salomon@df.ufscar.br ‡ Electronic address: vdodonov@fis.unb.br new step in photodetection theories by allowing to determine the field state after an arbitrary sequence of measurements, thus creating the possibility of controlling the field properties in real time experiments [16,17,30].…”

Section: Introductionmentioning

confidence: 99%

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Inclusion of nonidealities in the continuous photodetection model

2007

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Some non-ideal effects as non-unit quantum efficiency, dark counts, dead time and cavity losses that occur in experiments are incorporated within the continuous photodetection model by using the analytical quantum trajectories approach. We show that in standard photocounting experiments the validity of the model can be verified, and the formal expression for the quantum jump superoperator can also be checked.

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Controlling quantum entanglement through photocounts

Cited by 14 publications

References 25 publications

Rydberg-Rydberg interaction profile from the excitation dynamics of ultracold atoms in lattices

Rydberg-Rydberg interaction profile from the excitation dynamics of ultracold atoms in lattices

Exploiting the composite character of Rydberg atoms for cold-atom trapping

Inclusion of nonidealities in the continuous photodetection model

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